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samuel prat

samuel p.

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Transverse waves traveling along a string have the following properties. Amplitude of the wave = 3.0 mm Wavelength of the wave = 0.15 m Speed of the wave = 378 m/s Determine the time for the transverse displacement to travel through a total distance of 1.5 km.

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Given that electrons begin to be emitted when 550 mm light shines on a metal, (a) what is the metal's work function? (This is the maximum wavelength that triggers electron emission.) (b) If 400 nm light shines on the metal, what would be the kinetic energy of the emitted electrons?

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The height of a triangle is 6 yd longer than the base x. The area is 108 yd². Part: 0 / 3 Part 1 of 3 (a) Write an equation in terms of x that represents the given relationship. The equation is

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You are choosing between two different cell phone plans. The first plan charges a rate of 50 cents per minute. The second plan charges a monthly fee of \$54.95 plus 10 cents per minute. a. (5 points) Find an equation to determine the cost per minute for the first plan. a. (5 points) Find an equation to determine the cost per minute for the second plan. c. (5 points) How many minutes would you have to use in a month for the second plan to be preferable?

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Given the graph G: a b c e d Which of the following is an Euler circuit in G? There is no Euler circuit in this graph. <a,e,d,c,b> <a,d,c,b,e> <a,b,c,d,e>

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ANALYTICAL METHOD - DERIVING EQUATIONS Using the vector loop method, derive the equations which are solvable for the velocities of the output variables. Just derive the equations. Please do NOT attempt to solve them. Input motor is placed at point $O_2$. $\theta_e$ $e$ $\theta_e$ $R_f$ $f$ $R_a$ $a$ $e$ $R_e$ $O_4$ $\theta_c$ $R_c$ $b$ $\theta_3$ $R_a + R_b - R_c - R_e - R_f = 0$ $a \ e^{j\theta_a} + b \ e^{j\theta_b} - c \ e^{j\theta_c} - e \ e^{j\theta_e} - f \ e^{j\theta_f} = 0$ Velocity $\frac{ds}{dt}$ $jae^{j\theta_a}\frac{d\theta_a}{dt} + jbe^{j\theta_b}\frac{d\theta_b}{dt} - jce^{j\theta_c}\frac{d\theta_c}{dt} - 0 - 0 - 0 = 0$ $\theta_a$ $O_2$ $O_2$ $\theta_a$ $R_b$ Constant: a, b, c, e, f, $\theta_e$, $\theta_f$ Variable: $\theta_a$, $\theta_b$, $\theta_c$ $\omega_a$, $\omega_b$ and $\omega_c$

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II. Fractional Distillation Part B. Temperature versus Volume Distillate of Methanol-Water Mixture Temperature (°C) 105 95 85 75 65 55 45 35 0 10 20 30 40 50 Volume of Distillate (mL)

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Analyze the decision tree form and answer the following questions: 1. How many players and what their strategies, payoffs? 2. Is this game is simultaneous or sequential? Explain why. 3. Find Nash equilibrium. Explain. Now suppose that demand shock doubles all payoffs. Show new decision tree and find new Nash equilibrium. 4. Does credible commitment is available for players? Explain.

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Question 3 40 pts Details 40 pts) An athlete whirls around a ball of mass m=6.500 kg tied to a chain such that the ball moves in a uniform circular motion (UCM) with a constant speed of v in the horizontal plane. Assume the position of his shoulder is fixed and is at a height of hs =1.750 m from the ground, the ball is l=1.500 m from his shoulder during UCM, and the chain is at an angle θ=29.70° with the horizontal direction (see figure above). Assume that the mass of the chain is negligible, and neglect air resistance. Hint: g=9.800 m/s^2. Relative error tolerance is 3%. Use ordinary notation. The +x, +y, and +z directions are chosen in the figure.) 1. Draw a free body diagram of the ball during UCM. (Please write your CWID and name in the file. Accepted file types: .pdf, .jpeg, or .jpg) Choose FileNo file chosen 2. Express the magnitude of the vertical (z) component of the tension on the ball in terms of m and g. (Formula answer) Hint: The vertical component of the acceleration is 0. Tz = Calculate the magnitude of the vertical (z) component of the tension on the ball. (Numeric answer, no signs) ITI- Newtons 3. Express the magnitude of the horizontal component of the tension on the ball in terms of m, g, and θ. (Formula answer) (Subscript h means horizontal). Th = Calculate the magnitude of the horizontal component of the tension on the ball (Numeric answer, no signs). Newtons 4. What is the magnitude of the acceleration of the ball during UCM? Oa = m Oa = 0 = 00 (T) m

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QUESTION 3 (8 marks) 1 40 ft 3 $\rho_2 = 20$ ft 2 15 ft Using 1 ft = 0.31 metres, for the (180+YZ/4)-kg amusement car: Find the velocity at position 2 and at position 3 (it starts from rest at 1) (2) Also find the normal force exerted by the surface on the car at 2. (4) What is the radius of curvature at 3 so the car doesn't go flying off the road? (hint-normal force from the surface is zero) (2)

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